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159133104 = 2432133503
BaseRepresentation
bin10010111110000…
…10110110110000
3102002102210120200
421133002312300
5311214224404
623442435200
73641415624
oct1137026660
9362383520
10159133104
1181910069
1245362b00
1326c79000
14171c5184
15de85839
hex97c2db0

159133104 has 120 divisors (see below), whose sum is σ = 483406560. Its totient is φ = 48866688.

The previous prime is 159133103. The next prime is 159133111. The reversal of 159133104 is 401331951.

159133104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (159133103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316117 + ... + 316619.

It is an arithmetic number, because the mean of its divisors is an integer number (4028388).

Almost surely, 2159133104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241703280).

159133104 is an abundant number, since it is smaller than the sum of its proper divisors (324273456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

159133104 is a wasteful number, since it uses less digits than its factorization.

159133104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 159133104 is about 12614.7970257155. The cubic root of 159133104 is about 541.9012814765.

The spelling of 159133104 in words is "one hundred fifty-nine million, one hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 503 507 624 676 936 1006 1014 1352 1509 1521 1872 2012 2028 2197 2704 3018 3042 4024 4056 4394 4527 6036 6084 6539 6591 8048 8112 8788 9054 12072 12168 13078 13182 17576 18108 19617 19773 24144 24336 26156 26364 35152 36216 39234 39546 52312 52728 58851 72432 78468 79092 85007 104624 105456 117702 156936 158184 170014 235404 255021 313872 316368 340028 470808 510042 680056 765063 941616 1020084 1105091 1360112 1530126 2040168 2210182 3060252 3315273 4080336 4420364 6120504 6630546 8840728 9945819 12241008 13261092 17681456 19891638 26522184 39783276 53044368 79566552 159133104